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Finding the Fourth Proportional to 219,410.56, 329,128.56 and 61,651.24

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Solution

The fourth proportional to 219,410.56, 329,128.56 and 61,651.24 is: 92,480.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,410.56 : 329,128.56 = 61,651.24 : x
  2. Step 2: Convert to fraction form
    219,410.56/329,128.56 = 61,651.24/x
  3. Step 3: Cross multiply
    219,410.56x = 329,128.56 × 61,651.24
  4. Step 4: Simplify right side
    219,410.56x = 20,291,183,843.41
  5. Step 5: Solve for x
    x = 20,291,183,843.41/219,410.56
  6. Step 6: Final answer
    x = 92,480.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.